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Rewrite the perimeter formula, P = 2l + 2w, to solve for the length, l, and then use this formula to find the length of a rectangle whose width is 7 inches and perimeter is 42 inches.

1 Answer

4 votes

Answer:

14 inches

Explanation:

In the above question, the perimeter formula is given as:

P = 2L + 2W

We are asked to rewrite the formula to solve for L.

This means to make L the subject of the formula

P = 2L + 2W

2L = P - 2W

Divide both sides by 2

L = P - 2W/2

We are to use the above formula to find the length of a rectangle whose width is 7 inches and perimeter is 42 inches.

P = Perimeter

L = Length

W = Width

L = P - 2W/2

L = 42 - 2(7)/2

L = 42 - 14/2

L = 28/2

L = 14 inches

Therefore, the length of the rectangle = 14 inches

User Dantiston
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